What three positive numbers give the same result when multiplied and added together?


Three Positive Numbers
8 guesses to Three Positive Numbers 

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1,2,3
1,2,3
Frank, you are today’s winner!
1, 2, and 3.
1,2,3
Looks like the square root of 3 would also solve this riddle if it is used as all three values.
root 3 x root 3 x root 3 = root 3 + root 3 + root 3
I don’t know how to tell if there are other solutions (other than the one Frank gave) where three unique values solve the problem? Any ideas?
O.K. I’ve found a general solution (but my inability to enter math formulae on here is a bit frustrating, I’m happy to followup if there is interest.
But for example,
If you assume A = square root of (11.1)
Which is approximately 3.331666
Then this is true:
A/10 + A + Ax10 = A/10 x A x Ax10
or approximately
0.3331666 + 3.331666 + 33.31666 = 0.3331666 x 3.331666 x 33.31666 = 36.98149
For some reason, this one has captured me!
Another three positive numbers that add up to their product are:
(Where B = square root of 3.5)
B/2 + B + 2B = B/2 x B x 2B
Or approximately:
0.935414 + 1.870829 + 3.741657 = 0.935414 x 1.870829 x 3.741657 = 6.5479
Oh boy, it is much easier than I had been making it out to be.
Given any two positive numbers: B & C you can find the 3rd (usually smaller) number to complete the equation:
A + B + C = A x B x C
using: A = (B + C) / (B x C – 1)
Of course, B x C – 1 must not equal 0.
I think I can get on with my life now…